'We're Figuring It Out Together': First-Time Parents Lauren Bushnell & Chris Lane Dish On Caring For 2-Week-Old Son Dutton

It's all coming up roses for first-time mom Lauren Bushnell, who gave birth to her and husband Chris Lane's son Dutton on June 8.

"We're both so new to this and learning as we go, but we're getting the hang of it!" she declared to PEOPLE. "You have to laugh your way through. We're just figuring it out together."

Lane insisted he's "not good at any of it yet," and though he can change a diaper, the process is much harder than he anticipated.

"I just can't seem to change them fast enough for Dutton. He screams his lungs out every single time," he revealed. "We've learned he hates the diaper change. However, he's usually fine as soon as you're done. But we've had a couple moments this week ... apparently little boys will pee if you don't pay attention. And I panicked because I didn't know what to do in the moment."

"We've had lots of diaper-related incidents!" noted the reality star. "I learned so much from the nurses at the hospital. They were probably like, 'Oh my gosh, this girl asks way too many questions!' But I'm glad that I did because I learned so much from them, and I've passed it onto him. We're both so new to this and just learning as we go, but I feel like we're getting better. We're getting the hang of it."

Bushnell added that a lot of parenting just comes "instinctually," and each day she becomes more "confident" in their capabilities, which include distinguishing the meanings behind their little boy's cries.

The happy couple recalled a recent sleepless night where Dutton was in nonstop tears unless he was held.

"It's 3 a.m. and we're both exhausted. We were just looking at each other like, 'I don't even know what to do in this moment,'" Bushnell admitted. "I was just laughing." Meanwhile, Lane joked that he was "having a panic attack."

"I feel like you just have to laugh your way through. The moments of pure exhaustion have been challenging, but Chris is so sweet and helpful," the new mom insisted. "Especially with me nursing, there's not a lot he can help with, so instead he's been changing diapers, doing laundry — you name it. He's really stepped up and I appreciate it."

"I'm just really thankful that we have each other because at least there's someone there with me to understand what we're going through together," she added, as the country singer gushed, "We make a good team."